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Finding the Fourth Proportional to 667.28, 1,002.24 and 638.48

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Solution

The fourth proportional to 667.28, 1,002.24 and 638.48 is: 958.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.28 : 1,002.24 = 638.48 : x
  2. Step 2: Convert to fraction form
    667.28/1,002.24 = 638.48/x
  3. Step 3: Cross multiply
    667.28x = 1,002.24 × 638.48
  4. Step 4: Simplify right side
    667.28x = 639,910.20
  5. Step 5: Solve for x
    x = 639,910.20/667.28
  6. Step 6: Final answer
    x = 958.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.